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Finding the Third Proportional to 163,398 and 353,940

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Solution

The third proportional to 163,398 and 353,940 is: 766,677.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,398 : 353,940 = 353,940 : x
  2. Step 2: Convert to fraction form
    163,398/353,940 = 353,940/x
  3. Step 3: Cross multiply
    163,398x = 353,940 × 353,940
  4. Step 4: Simplify right side
    163,398x = 125,273,523,600
  5. Step 5: Solve for x
    x = 125,273,523,600/163,398
  6. Step 6: Final answer
    x = 766,677.22

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.